Finding the Third Proportional to 118.50 and 137.63

Step by Step Solution

1. Step 1: Write the proportion equation
   118.50 : 137.63 = 137.63 : x
2. Step 2: Convert to fraction form
   118.50/137.63 = 137.63/x
3. Step 3: Cross multiply
   118.50x = 137.63 × 137.63
4. Step 4: Simplify right side
   118.50x = 18,940.64
5. Step 5: Solve for x
   x = 18,940.64/118.50
6. Step 6: Final answer
   x = 159.84